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Finding the Third Proportional to 313,886,592 and 516,847,104

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Solution

The third proportional to 313,886,592 and 516,847,104 is: 851,042,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886,592 : 516,847,104 = 516,847,104 : x
  2. Step 2: Convert to fraction form
    313,886,592/516,847,104 = 516,847,104/x
  3. Step 3: Cross multiply
    313,886,592x = 516,847,104 × 516,847,104
  4. Step 4: Simplify right side
    313,886,592x = 267,130,928,913,186,816
  5. Step 5: Solve for x
    x = 267,130,928,913,186,816/313,886,592
  6. Step 6: Final answer
    x = 851,042,815.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.